Caveat: I'm no expert - wait for verification from someone who is before acting.
But... Try just the splitter first. With digital TV, either it'll work or it won't, and if you are in a decent reception area, and your antenna is in good nick, you may be OK. If not, put up a masthead amp; the splitter I linked you to will pass power up to it.
I've got a UHF / VHF combination antenna that is split 5 ways with 4 DVB-T devices connected. No amplifier and I'm not quite line of site with transmitter. Longest cable run is 25m and all devices still have 80% + signal strength and quality.
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