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thanks, didn't know about those joiners, bit more than budget allows atm but will set up some ebay alerts. Dowel jig looks decent though, presumably can be used in general for drilling perpendicular holes?
The groove is going to be the challenge..I was thinking I'd probably have to saw it in half at 45deg and just flip one side over. Piece will probably be too wide to use the mitre saw but maybe you can do it in 2 cuts if you flip it round? Otherwise will have to see what features the incoming circular saw has and just clamp (oh..clamps!) a piece of wood to it
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Any circular saw will tilt the blade compared to the base so that's covered.
Box finger joints would be a reasonable connection system. You could stay quite chunky and only have 4 or 5 per corner.
Glue and screw would also work. Splined mitre joints would be a fancy but possible alternative as flipping 45° ish cut edges will give you an exact 90° joint.Buy a cheap oil stone and some 3in1 to sharpen the chisels.
You will likely need a finer tooth circular saw blade for finish cuts.
Where are you based. Some local forumite may be willing to help with irl advice or tool loan?
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Circular saw with the level clamped to it will work as a guide. Circular saw should have 45deg bevel build in so just set the appropriate depth, do one way, turn the piece around, do the other side.
I would do this before cutting to final length so that you have support on the short side of the cut.
The main thing I think you're missing is something to join the pieces. OP would be domino joiner but biscuit joiner is more likely in budget or a cheap dowel jig. Just gluing them as butt joints would be a pain.
As you've highlighted, the best way to do the groove would be a router but, with a track saw, you could quite easily do two passes at 45deg.