Aerials are in the main designed to work with 75Ω coax, putting two coax cables into one aerial will cause a miss match, so some thing is needed to allow the splitting this can be a simple resistor or a complex powered electronic box, it will depend on what signal you have if you need a powered device or a passive device.
It is a case of rubbish in, rubbish out, so best place for any powered splitter is at the aerial before any signal is lost, so the mast head amp is best, but first thing is use the menu on the TV which shows signal strength, if high then maybe a cheap splitter will do, but if very low a mast head amp is required, and if in the middle then a amp at the TV may be good enough.
I liked the amp at the TV then I could also feed the VCR into feed for bedrooms so could watch same video after retiring, but that was OK with 14 inch TV, with 32 inch the picture is simply not good enough, so today I use a satellite dish with two special sky Q outputs, and 4 standard satellite outputs, I have a terrestrial TV aerial but never used.
All TV's use HDMI connectors I have one which will work direct to satellite dish, rest all have set bottom boxes, use to be called set top, but top of modern TV too narrow, so if your setting up I would use satellite quality cable so if in the future you move over to get all the extra free channels the same cable will work, for me Sky Q was easy fix, no cables to run, main box great, but the repeater boxes not so good, so my bedroom still has a free to air satellite HD box.