Can anyone help me with strategies? I am only seeming to last 2 months as eventually the aliens just start overpowering me, or I run out of finances or research hits a brick wall. Clearly I don't seem to know how to play properly or something lol.
Are you playing on normal or classic?
Satellite management is important. The more satellites you have, the more income you have, and the less panic spreads across the earth. One of the best starts is to deploy 3-4 satellites in the first month.
Take the engineer reward as the first abduction mission. This brings down the cost of each satellite to 77 credits instead of 100.
Build a workshop 24 days or more before the council meeting.
Build 3-4 satellites 20 days or more before the council meeting. You may need to sell corpses and fragments to afford this.
Build a satellite uplink 14 days or more before the council meeting. You may need to sell corpses and fragments to afford this. Try not to sell any alien alloys. Those are important in the early game.
Deploy all your satellites a day or so before the council meeting on all the countries that are in red. Or, you can just dump them all in Africa for the money bonus, or South America for the research bonus.
The officer training school is one of the best ways to increase your success in the tactical layer. Squad size I and II are essential.
Have at least one sniper and one heavy. Squad sight with the sniper is essential. Rockets are good for an emergency one-hit-kill or to blow up cover so that your other troops have an easy shot.
Assaults with run and gun are really good to flank aliens and kill them.
If the aliens are overpowering you, then you are teching too slowly. If you can start beam weapon research early, you can have laser rifles by the start of the second month. If you take the scientist reward for your second abduction mission, your research times will be reduced by a lot.
Going from 5 scientists to 9 scientists in the first month makes a much larger impact than going from 20 scientists to 24 scientists later in the game.
If you opt to start in South America or if you cover all of SA in satellites using the 4 satellite strategy, you will have instant interrogations, which you can use to speed up your research by a lot.
Interrogating a live sectoid will reduce your laser gun research by half. Interrogating a live floater will reduce your armor research by half. If you can handle it, capturing aliens earlier pays off in the long run.