RCBS, Hornady, then Lyman dies, in that order for my preferences. You can go to Redding or another higher end die later if you decide to get into the precision shooting after you've learned to walk.
I like the imperial sizing wax.
Balance beam scale. Trickler. SS Calipers. I'd start with the Lee dippers if you want to save some money, but I don't care for cheap powder throwers. Lots of options for case trimming
Cheap chamfer and deburring tool for now, go to a case prep center later if you'd like.
For .270 powder, H4831 (standard or SC) or 4350 (H or I) will be all that you need. I'm not as familiar with 35 Rem, but I'd bet a dime to a donut that 4895, RL7, or I3031 would be great for it. Use the projectiles that you can find, but I like the regular Hornady interlocks for a good quality budget bullet… obviously others will work