Supermarkets with fuel are the cheapest places to fill up the car and services on motorways (interstates) the most expensive.
A lovely drive from Llangollen is to head south westward via Bala all the way to Barmouth on the west coast. Then go N up the coast and be sure to go through Harlech to see the castle (CADW). Then drive the short distance to see the Italianate village of Portmeirion before heading back to Llangollen via a more northerly route to Bala.
I take it that you know about the Pontcysyltte Aqueduct just east of Llangollen.
When traveling south to Brecon, suggest you call in at Powis Castle - just west of Welshpool. Note that this is National Trust - not CADW.
When in Brecon it is possible to drive to Blaenavon to visit Big Pit - which being part of the Museum service is FREE. Especially good if the weather is bad.
South westward from Brecon - https://www.showcaves.co.uk is also worth a visit.
If you are going to go hiking up any mountains - such as Pen-Y-Fan (Brecon Beacons) - make sure you have suitable footwear & clothing. Note that on the mountains there is no cover so heat / sun burn could be a problem. If weather is hot, consider Waterfall Country with hikes through wooded valleys in the Pontneddfechan area of the Brecon Beacons National Park.