What weeds are most common in your garden? Lots of nettles? Then you have rich, damp soil.
Field buttercup, Wood aven, mosses and sedges? Then you have wet soil.
Spurge? Dry, well-drained soil.
Dock, thistle and Plantain? Compacted soil. Don't dig it with a spade but after weeding make a few deep holes with the garden fork and cover with a thick layer of organic mulch...
What garden weeds tell us about our soil is a topic worthy of a lengthy piece in itself, but the creative shortcut I'm proposing is to replace them with more exciting versions that have similar requirements.
So look again at the weeds that thrive in your borders and, with a little imagination, you can see the kinds of plants that will be trouble-free.
Here are a just a few examples:
If you regularly go to war with nettles, then (although it is a different genus) you might like to check out Lamium maculatum or Lamium galeobdolon.
If spurge is the fiend, then the genus Euphorbia might be your friend.
If you have lots of buttercup you might want to look at Ranunculus: two garden examples being Ranunculus aconitifolius and R. ficaria 'Brazen Hussy'.
Similarly for Wood Avens, check out other Geums: two common examples are G. 'Mrs J Bradshaw or G.'Totally Tangerine'.
If thistles are driving you insane then why not consider cardoons (Cynara cardunculous) or Cirsium rivulare 'Atropurpureum'; and for Plantain there are garden varieties called Plantago major rubrifolia, P. major 'Frills' as well as P. rosularis 'Bowles' Variety'.
Photos: 1. Euphorbia x pasteuri, 2. Ranunculus ficaria, 3. Plantago, 4. Geum 'Mrs Bradshaw'