Try planting onion sets early March in a corner of the new garden, if they take off, you should be good to grow most things this year.
I like to start each new garden with just bush beans. Legumes take nitrogen from the air and add it to the ground and this helps other plants in future years.
The key is you don't want the roots of your plants touching too much woody material the first year without it having adequate composting.
If you want to put in, say tomatos, make sure the wood is pushed out of the root hole before planting.
Well composted woody material will be okay. even if some of it still looks like wood.