I think you'll find a 50.00 Rubbermaid round cooler is favored with many here on the forum. The one from my brew shop came complete with valve, screen and cooler for 95 bucks. You can make them cheaper, but I didn't want the headache of shopping for supplies. I personally use a bazooka screen with this cooler and have not had any major problems. Like many, I carried over stuff from extract brewing and still use most of those items today. I have a 15 gallon pot which is great for doing 5 gallon batches and while I've not yet done a 10 gallon batch in it, could probably do so without much problem.
Youtube and Google is your friend. If you have the spare time and bandwidth, tear it up. Plenty of great stuff out there. The only thing I would say is maybe rethink the mill part if you are limited on cash. Don't get me wrong, I just purchased my first mill which was a MM3 last week and it's freaking great, but that said...I've never once had a problem with the crush my store gave me. Just something to consider if you needed to use that cash elsewhere on other important things.
What I would suggest is a good 10 gallon cooler with your choice of screen and ball-valve. A pot sufficient to do a 6-10 gallon boil. This will give you much needed insurance to prevent boil overs. A burner of some sort like a turkey fier burner. This heats my water to a boil pretty quickly. Seems it was a SP10 or something like that.
There are tons of lil items which will make your brewday much easier. I wish I could provide links, but I'm short on time here at work, but I'll cover what I can.
1. Wallpaper tray to hold your utensils.
2. Refractometer - quite possibly the best 20 bucks you'll ever spend.
3. Stainless long handled metal pot spoon.
4. Set of kitchen scales and digital thermometer pen.
5. Several spare lengths of tubing to use for blow off's and siphon.
6. Extra propane tank and consider finding a set of luggage scales to measure the weight of your propane tank before and after your first few set of batches. This will help you get a good idea of how much fuel you can start expecting to use.
7. Plastic or metal water pitcher.
8. Something to sparge with. Until recently, I used a aluminum turkey baster pan with holes poked in the top. Many also use a second 5-10 gallon cooler. Again is this extra cost worth it? Was to me, but I've used the 50 cent pans for the past 3 years with no problems.
9. At least a 50' wort chiller, but I think I recall you saying you already had that.
10. a box of disposable pipets to take sample gravity readings. I use one per brewday.
There are tons of other things to make your day easier. Sadly, with this hobby, I don't think you can ever have enough. Just think your purchase decisions through and make sure you can use them as you grow more into the hobby.
If you would like to take a look at BIAB, check out Wilserbrewing on the forum. He can set you up with all the bags you need and give some really great advice on BIAB and other techniques.
Good luck buddy. Post back with any questions you might have.
Here is a link to a few pictures of my brewing junk. Nothing special, but it might can help you brainstorm some ideas.
Ken