Where to start:-
1. Objectives. What we normally say if you're not sure of your plans - who is? - is maintain a 'balanced spend' by which we mean save enough to give yourself a fair chance as having the same standard of living after independence as you now do. That's a simple maths equation if you assume that you'll need 30 x your future spend in capital at the age of independence, and often works out at 40% of your net after housing costs.
2. Optimal Risk. Knowing when you / want to / can / be independent defines the optimal risk to take, and the maths for this is not so easy, but the point to realise is that given a target, there will be a point on the efficient frontier of risk and return which gives you the best chance of achieving your objective. For the moment, unless you're saving for a home, that's about 25% risk and high risk.
3. Asset Allocation: that tells you your asset allocation using modern portfolio theory and quite a bit of forward guessing for risk return and correlation, and although there are a lot of models out there to use freely, so people take the short-cut and go for 60% local equities, fixed interest and property. I suggest you don't take the short-cut because it's all changing.
4. Tax favoured account choice: the outstanding people on this forum will rightly say 'no iSA' because you've got all kinds of reporting problems, but some will say use an ISA, invest in ETF funds that are registered on both sides of the Atlantic. I've actually started to wonder whether a Roth IRA is a better vehicle to use for a fellow like you, but the problem will be getting an administrator to talk to you for an application without throwing a fit because they're not registered in the State you're in (or not, if you follow me). The SIP alternative is cool and right, if you've got over 50k otherwise the charges are too high. There is much to be said for keeping it simple, by opening a stockbroker account without seeking an tax wrapper for the moment.
The more you know the less you pay in charges and hidden charges. These have more impact than tax ,for you.
Yes, there's a book to read which gives you all this, which I've just published. I don't actually know of another one that puts it together like I have. Permit me to respect forum rules and avoid more self promotion. If you want to know what it is send me a message.