+ whatever for uprated halogen bulbs, but be prepared to change them more often. They tend to have a shorter life than standard bulbs.
On the LED front, Philips, who know quite a lot about headlights and bulb technology, produce very expensive aftermarket H4 and H7 LED replacement bulbs – Xtreme Ultinon – which are not road legal in the UK, before anyone jumps down my throat… But claim to accurately replicate the beam pattern of the original halogen bulbs, presumably because they’ve managed to very precisely reproduce the exact position and dimensions of the original light source using LED technology.
I’ve driven, briefly, with a set of the H4 ones in a halogen reflector housing, and they worked really well, same beam pattern as the originals, brighter, but not insane. They cost something like 150 quid a pair, which presumably reflects how much work Philips have put into them and also suggests that cheapo eBay versions are going to be every bit as awful as they seem to be.
I’m not suggesting anyone use them, they are not road legal in the UK, but it’s clearly not impossible to produce an effective LED bulb that’s a direct replacement for halogen if you happen to be a massive international lighting corporation with millions to spend on development. Less so if you’re a dodgy eBay seller.
The other thing that OP could check is whether there’s a voltage drop between the battery and the headlight bulbs. If the wiring is sub-standard or badly designed, you can fit an upgraded headlight loom taking power direct from the battery to the headlights and triggered by a relay activated by the original wiring.
Finally, some headlights are just really poor regardless of bulbs – the standard H4 units in T5s and T6s for example – and there’s not much you can do with them bar fitting a better, aftermarket headlight unit if such a thing exists.