I am looking for some comments on an implementation of a singly-linked list in Python. What could I do to make it more reliable and readable?

class LinkedList(object):
    class Node(object):
        """
        Inner class of LinkedList. Contains a blueprint for a node of the LinkedList
        """
        def __init__(self, v, n=None):
            """
            Initializes a List node with payload v and link n
            """
            self.value=v
            self.next=n
         
    def __init__(self):
        """
        Initializes a LinkedList and sets list head to None
        """
        self.head=None
         
    def insert(self, v):
        """
        Adds an item with payload v to beginning of the list
        in O(1) time 
        """
        Node = self.Node(v, self.head)
        self.head = Node
         
    def size(self):
        """
        Returns the current size of the list. O(n), linear time
        """
        current = self.head
        count = 0
        while current:
            count += 1
            current = current.next
        return count
    
    def search(self, v):
        """
        Searches the list for a node with payload v. Returns the node object or None if not found. Time complexity is O(n) in worst case.
        """
        current = self.head
        found = False
        while current and not found:
            if current.value == v:
                found = True
            else:
                current = current.next
        if not current:
            return None
        return current
        
    def delete(self, v):
        """
        Searches the list for a node with payload v. Returns the node object or None if not found. Time complexity is O(n) in worst case.
        """
        current = self.head
        previous = None
        found = False
        while current and not found:
            if current.value == v:
                found = True
            else:
                previous = current
                current = current.next
        # nothing found, return None
        if not current:
            return None
        # the case where first item is being deleted
        if not previous:
            self.head = current.next
        # item from inside of the list is being deleted    
        else:
            previous.next = current.next
             
        return current
         
    def __str__(self):
        """
        Prints the current list in the form of a Python list            
        """
        current = self.head
        toPrint = []
        while current != None:
            toPrint.append(current.value)
            current = current.next
        return str(toPrint)