Batch Remove or Replace characters from file names

zeroBegone.txt

#For use with a set of sequential files that contain extra zeroes. ex: file001.jpg, file002.jpg, file003.jpg ect.
#Replace <firstPartOfName> with everything up until the bit you want to remove. No brackets.
#replace <removeThis> with what you need removed, <replaceWithThis> for what you want in its place.
#You can leave <replaceWithThis> blank if you simply want to remove.

for file in <firstPartOfName>*; do
    new_name=$(echo "$file" | sed -E -e 's/<removeThis>+/<replaceWithThis>/')
    mv "$file" "$new_name"
done