Variance in water pressure on well system

Recently bought an older home with a well. Whenever any water facet is turned on, (cold or hot) the water pressure drops immediately at all other locations. When downstairs toilet is flushed, upstairs shower goes immediately hot, hot, hot. Any solution to these problems?
Thanks in advance for any assistance.
Sam Fair
Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file
Upload is a website for homeowners and building and maintenance pros. It is not affiliated with any of the manufacturers or service providers discussed here. All logos and trade names are the property of their respective owners.