The two videos below show you how to write lowercase and uppercase (or capital) letters in cursive handwriting. The videos are short so good to watch if you can't dedicate a lot of time.
The 18 min. video below shows you how to write lowercase and uppercase cursive letters. The presenter also gives tips on how to connect letters and have good cursive handwriting in general.
The video below is the first lesson in a course on cursive handwriting from the HEV (Homeschool Education Videos) Project. Printable worksheets for this course can be found on the free worksheets page from the HEV Project (scroll down to find "cursive" subtitle).