SOHO network design

I am soon to be setting up a small home network around my house and I am interested to know if this layout i have thought out will work in the way i want it to.

layout:


Basically, I want to make sure that the DHCP on the ADSL router assigns the IP addresses for all computers connected to the network. For example a wireless laptop might be assigned 192.168.1.13 and then the server might be 192.168.1.10 despite being behind a switch. Then the other various computers would get their IP addresses assigned by the router as well despite being behind more switches. Would this work or would each little subnet of computers be assigned their own IPs from the switch they are under.

Thanks.

OK, thats good, my second concern is if there will be a bottle neck or a lot of lag / overhead caused by having the "centre" of the network be the router...

my other option would be to have the server connected up to the internet via an ADSL modem and then have it also act as a DHCP server etc... would this cause less overhead, especially as its connected at 1000Mb compared to the 100Mb of the router?