Will TA cover my Master's Degree after using it to do my Bachelor's?

Since you used TA for your undergrad you will have to wait till you have 10 years TIS to use TA for a Masters. TA will only pay for one degree at every level, not one degree only. Also, they will only pay up to $250 per SH of your masters degree. You can use your GI Bill to cover the rest with top-up. You're getting mixed information because the policy just changed about a year ago.

Yes, but you must wait until you hit your 10 year mark before you can utilize TA for your Masters Degree. Additionally, many Master Degree programs charge a higher rate than the TA will cover, so you may have to come out of pocket for the remaining balance or utilize some form of financial aid. This is all coming from first-experience. Congratulations on your upcoming achievement and enjoy the educational journey.

It depends on the school. Webster and Post Universities I believe have Masters programs that TA covers 100%, most schools however, TA will probably cover about 25%, which is still better than funding it all yourself. It is still $250/hour, with the semester hour cap like the BA. Apply for scholarships and grants, or take out student loans to cover the remaining amount.
Arizona State is about $1800 per course, and TA covers $750 for me for each course (3 hrs each), so I had to take some loans - still, under $20k in loans for a MA EMHS done entirely online while having a fully salaried job, from a good school that doesn't prey on military I think is a sweet deal.