As Terry stated, you need to get business class equipment. Period. Trying to use SOHO equipment in a school or business environment is a recipe for disaster. The equipment you should consider using are of two types: 1) wireless controller based or 2) APs which operate as a single system without the need of a dedicated controller.
I would opt for option 2 as it's the most cost effective.
The use of repeaters is not a good option in your case as repeaters have a draw back which is the halving of available bandwidth. If the originating wireless device is able to broadcast at say 54 Mbps, the effective throughput from the repeater to the wireless clients will be 27 Mbps. Every time you add a repeater as an additional hop, the throughput at the other end gets halved. So another repeater added is going to be 13.5 Mbps. Business class wireless systems help mitigate some of this by using the 5 GHz band as the wireless back haul between APs while the 2.4 GHz is used for wireless client connections. Doing it this way also helps with maintaining the optimum in performance as there's less interference with 5 GHz.
The proper way to provide wireless connectivity in your situation is to have actual APs (not repeaters) spread around the building. The location of the APs will be based on concentration of wireless clients, coverage, and interference. The use of the controller less APs will require running Ethernet drops to the various locations. The APs can be powered over the Ethernet cable via a PoE switch. The APs will communicate with each other for management via the LAN connection. APs set up in this fashion will be able to adjust their output power so they won't be stomping on each other if their coverage areas overlap. In addition, the overall system will be able to auto select the operating channel for both 2.4 and 5 GHz for the best performance. Examples of companies with this type of system are Aruba Networks, Meraki, and Ubiquiti.
If you are interviewing a company to do this work for you, ask for them to describe a similar deployment they have done for an environment like yours. Ask if they can provide a point of contact so you can call and ask them if they were satisfied with the work. Ask them if they will be doing a RF site survey. Ask them for the equipment they are proposing if they are a recognized partner of the manufacturer of the equipment. They should also be asking you questions. If they don't, run. Some of the questions they should be asking is how many wireless clients currently? What type of wireless clients are they (PC, Android, IOS), if bring your own device is allowed, what type of network traffic will the wireless network support, what level of security are you looking for?
I would opt for option 2 as it's the most cost effective.
The use of repeaters is not a good option in your case as repeaters have a draw back which is the halving of available bandwidth. If the originating wireless device is able to broadcast at say 54 Mbps, the effective throughput from the repeater to the wireless clients will be 27 Mbps. Every time you add a repeater as an additional hop, the throughput at the other end gets halved. So another repeater added is going to be 13.5 Mbps. Business class wireless systems help mitigate some of this by using the 5 GHz band as the wireless back haul between APs while the 2.4 GHz is used for wireless client connections. Doing it this way also helps with maintaining the optimum in performance as there's less interference with 5 GHz.
The proper way to provide wireless connectivity in your situation is to have actual APs (not repeaters) spread around the building. The location of the APs will be based on concentration of wireless clients, coverage, and interference. The use of the controller less APs will require running Ethernet drops to the various locations. The APs can be powered over the Ethernet cable via a PoE switch. The APs will communicate with each other for management via the LAN connection. APs set up in this fashion will be able to adjust their output power so they won't be stomping on each other if their coverage areas overlap. In addition, the overall system will be able to auto select the operating channel for both 2.4 and 5 GHz for the best performance. Examples of companies with this type of system are Aruba Networks, Meraki, and Ubiquiti.
If you are interviewing a company to do this work for you, ask for them to describe a similar deployment they have done for an environment like yours. Ask if they can provide a point of contact so you can call and ask them if they were satisfied with the work. Ask them if they will be doing a RF site survey. Ask them for the equipment they are proposing if they are a recognized partner of the manufacturer of the equipment. They should also be asking you questions. If they don't, run. Some of the questions they should be asking is how many wireless clients currently? What type of wireless clients are they (PC, Android, IOS), if bring your own device is allowed, what type of network traffic will the wireless network support, what level of security are you looking for?