Bedbugs can neither fly nor jump. Bedbugs don't have legs made for jumping, and they don't have wings. Bedbugs can crawl from place to place, but their typical mode of transportation is via humans carrying luggage into and out of hotel rooms.
Bedbugs are true bugs that belong to the order Hemiptera. They have specialized mouth parts to pierce skin and suck blood from a host. Bedbugs are not known to be disease vectors, but their bites can cause itchiness and irritation.
Once identified, a bedbug infestation may be eradicated with natural solutions containing aromatic cedar oil and silica. Cedarcide.com carries bedbug eradication products.