Hi Breitling. I moved to TT in January, so far it's fantastic and as you say, a lot less expensive than others.
Yes you will still be able to use your Hotmail address and Outlook Express. You probably wont be able to use your Eclipse email address if you have one as they'll close that account when you leave, unless they have a dialup connection you can use to keep it open.
Your Netgear router should be okay to use, I use a Linksys router to connect to TT, but I keep the TT modem to hand in case of router problems.
There are quite a few TT users on the forum so you'll never be stuck for help if you ever need it.