Gather a boiling water canner, canning jars, lids, rings, jar lifter, canning funnel, and nonmetallic spatula. Use a pressure canner as an alternative.
Wash the berries and drain, then cap, stem, and remove heads/tails (for gooseberries) as needed just before canning.
If you're using syrup, water, or juice, heat the liquid to a boil and let it simmer while you're preparing the berries.
For the hot pack method, heat the berries briefly, drain, pack into jars, cover with hot liquid leaving ½" headspace. For raw pack, fill the jars with raw berries, then cover with hot liquid maintaining ½" headspace.
Use a spatula to eliminate air bubbles, wipe the jar rims clean, and then seal with lids and rings until they're fingertip tight. Load the canner with your prepared jars.
If you're water bath canning, process quarts for 20 mins (raw pack) or 15 mins (hot pack). If you're pressure canning, process quarts for 10 mins at 6 lbs pressure (dial-gauge) or 5 lbs pressure (weighted-gauge).
After processing, cool the jars in the canner for five mins, or if you're using a pressure canner, wait for complete depressurization.
Remove the jars, place them on a cloth, and let them cool for 24 hours. Listen for the pop of sealed lids.
Label the jars with date and berry type, then store in a cool, dark place for up to one year.