What kind of MOSFET to use with this battery protection IC
For the circuit itself I don't know that part but these protectors are meant to be used in only one way, so you just have to keep the sample circuit and recalculate some component about your battery.
For the mosfet you simply needs two logic level n-channel power mosfets; drain rating and rdson depending on your current (they are not switching so you should optimize on rdson and not gate charge).
Your TI MOSFET is optimized for load switching so it could be good.
Good luck on soldering that, however :D I'd use a bigger part since you are really near to its maximum drain current (3A) so it will be quite hard to keep in temperature. Look at the fine print, you'll need a huge copper mass for that (a 70µm copper layer).
For a 3A load I'd suggest an optimized one in TO23 or maybe a TO223 if operating period at maximum current is long (just an indication, there are many different packages and many cooling strategies).
You need some experience to estimate the actual thermal resistance of your board but datasheet parameters are a good start.