Bash script - execute commands parallely

I have to dump mysql databases and transfer it to other server (im using mysqldump and rsync). Now I doing it step by step:

1. dump database A (~25 minutes)
2. transfer database A (~30 minutes )
3. dump database B (~35 minutes)
4. transfer database B (~45 minutes)
5. ... So for 7 database it takes something about 10 hours

bazy=("ast" "biog" "dbaut" "tran2" "dest" "recor" "senti")
place="/backup"


function dump { /usr/bin/mysqldump  -u $user -p$password $baza  | gzip -$cl -c > $place/$baza.sql.gz; }

function transfer { rsync -Pav -e "ssh -i /usr/src/migration/ky" $place/$baza.sql.gz ro***@$dst:/backup/; }

function remove { rm $place/$baza.sql.gz -f; }

for baza in ${bazy[@]}; do
        echo $baza
        dump
        transfer
        remove
done

Is there any way to do this paralelly? - while database A is transfered in the same time dumping database B, etc.